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THE l(1)-STABILITY OF A HAMILTONIAN-PRESERVING SCHEME FOR THE LIOUVILLE EQUATION WITH DISCONTINUOUS POTENTIALS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2009, 卷号: 27, 期号: 1, 页码: 45-67
作者:  Wen, Xin;  Jin, Shi
收藏  |  浏览/下载：94/0  |  提交时间：2018/07/30
Liouville equations  Hamiltonian preserving schemes  Discontinuous potentials  l(1)-stability  Semiclassical limit  
The l(1)-error estimates for a Hamiltonian-preserving scheme for the Liouville equation with piecewise constant potentials 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2008, 卷号: 46, 期号: 5, 页码: 2688-2714
作者:  Wen, Xin;  Jin, Shi
收藏  |  浏览/下载：88/0  |  提交时间：2018/07/30
Liouville equations  Hamiltonian preserving schemes  piecewise constant potentials  error estimate  half order error bound  semiclassical limit  
Convergence of an immersed interface upwind scheme for linear advection equations with piecewise constant coefficients I: L-1-error estimates 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2008, 卷号: 26, 期号: 1, 页码: 1-22
作者:  Wen, Xin;  Jin, Shi
收藏  |  浏览/下载：82/0  |  提交时间：2018/07/30
linear advection equations  immersed interface upwind scheme  piecewise constant coefficients  error estimate  half order error bound  
Computation of transmissions and reflections in geometrical optics via the reduced Liouville equation 期刊论文
WAVE MOTION, 2006, 卷号: 43, 期号: 8, 页码: 667-688
作者:  Jin, Shi;  Wen, Xin
收藏  |  浏览/下载：107/0  |  提交时间：2018/07/30
geometrical optics  reduced Liouville equation  level set method  Hamiltonian-preserving schemes  Snell's law of refraction  
A Hamiltonian-preserving scheme for the Liouville equation of geometrical optics with partial transmissions and reflections 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2006, 卷号: 44, 期号: 5, 页码: 1801-1828
作者:  Jin, Shi;  Wen, Xin
收藏  |  浏览/下载：66/0  |  提交时间：2018/07/30
geometrical optics  Liouville equation  transmission and reflection  Hamiltonian-preserving schemes